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Finding the Third Proportional to 81,430 and 176,782

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Solution

The third proportional to 81,430 and 176,782 is: 383,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,430 : 176,782 = 176,782 : x
  2. Step 2: Convert to fraction form
    81,430/176,782 = 176,782/x
  3. Step 3: Cross multiply
    81,430x = 176,782 × 176,782
  4. Step 4: Simplify right side
    81,430x = 31,251,875,524
  5. Step 5: Solve for x
    x = 31,251,875,524/81,430
  6. Step 6: Final answer
    x = 383,788.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.